Difference between revisions of "Expected value of uniform distribution"

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Revision as of 21:48, 14 April 2015

Proposition: Let $X$ have the uniform distribution on $[a,b] \cap \mathbb{T}$. Then, $$E_{\mathbb{T}}(X) = \dfrac{h_2(\sigma(b),a)}{\sigma(b)-a}+a.$$

Proof: